Application of a coincidence index to some classes of impulsive control systems

摘要

We suggest the oriented coincidence index theory for pairs consisting of nonlinear zero-index Fredholm operators and multivalued maps which may be represented as compositions of multimaps with aspheric values. We consider, sequentially, finite dimensional, compact. and condensing cases. The theory developed is applied to the Study of a feedback impulsive control system. (C) 2007 Elsevier Ltd. All rights reserved.